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Finding the Fourth Proportional to 686,097.75, 946,814.90 and 417,825.75

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Solution

The fourth proportional to 686,097.75, 946,814.90 and 417,825.75 is: 576,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,097.75 : 946,814.90 = 417,825.75 : x
  2. Step 2: Convert to fraction form
    686,097.75/946,814.90 = 417,825.75/x
  3. Step 3: Cross multiply
    686,097.75x = 946,814.90 × 417,825.75
  4. Step 4: Simplify right side
    686,097.75x = 395,603,643,614.55
  5. Step 5: Solve for x
    x = 395,603,643,614.55/686,097.75
  6. Step 6: Final answer
    x = 576,599.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.